Simplify Square Root of 6120

Here we will show you step-by-step how to simplify the square root of 6120. The square root of 6120 can be written as follows:


	√	6120

The √ symbol is called the radical sign. To simplify the square root of 6120 means to get the simplest radical form of √6120.

Step 1: List Factors
List the factors of 6120 like so:

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 17, 18, 20, 24, 30, 34, 36, 40, 45, 51, 60, 68, 72, 85, 90, 102, 120, 136, 153, 170, 180, 204, 255, 306, 340, 360, 408, 510, 612, 680, 765, 1020, 1224, 1530, 2040, 3060, 6120

Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:

1, 4, 9, 36

Step 3: Divide
Divide 6120 by the largest perfect square you found in the previous step:

6120 / 36 = 170

Step 4: Calculate
Calculate the square root of the largest perfect square:

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6120 in its simplest form:


6	√	170

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Decimal Form
Square Root of 6120 in Decimal form rounded to nearest 5 decimals:

78.23043

Exponent Form
Square Root of 6120 written with Exponent instead of Radical:

6120^½ = 6 x 170^½

Simplify Square Root of 6121
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* List of Perfect Squares